1. Grade 9
N6: Determine an approximate Square root of positive rational numbers that are non perfect squares

2. Perfect Squares
Non-perfect squares
Identify
Complete that table with perfect squares and non perfect squares that are quite close in value.

3. Example: bigger than smaller than that means
Estimate
Without a calculator, estimate the value of the square roots. Use the “bigger than, smaller than” rule.

4. A little game…
I need 3 volunteers…
Goal: make a number line showing the approximate square root of a non perfect square ex.√50

5. Non perfect squares in the form of decimals:
√o.79 ≈ √? = so our answer will be a little bit
√o.86 ≈ √? = so our answer will be a little bit
√1.42 ≈ √? = so our answer will be a little bit

6. Which is better? How can we determine which answer is closest?
(At least two methods)

7. Non perfect squares in the form of fraction:
≈ √? = so our answer will be a little bit

8. “approximately” can be expressed 3 different ways≈

9. Explain the answer to the following (WITHOUT using a calculator)

10. Give the answer to the following (USING a calculator)
Why may this be approximate?

11. Give me a number that has a square root between 7 and 8.
Whole number:
Fraction:
Decimal:

12. Place the following on a number line:√8 √2 √6
√25/4
√6.25
Tip: find the square roots first and then place them on the number line.

13. If a circle has an area of 50 cm², what is its radius?

14. Estimate the square root. EXPLAIN YOUR STRATEGY .
√300=
√0.45=
√(24/65)
√1.4
Verify your answers with your calculator.

15. In finding the √87 using the √ button on his calculator, Ryan said the exact answer is 9.327379053.
Is this exact? Why or why not?

16. Identify a whole number with a square root between six and seven.
Identify a rational number with a square root between seven and eight.

17. Home work!!!
Let’s practice what we learned to reinforce all these new and exciting concepts!
P.12 #13a, # 14 (remember that perimeter is the distance around an object),15,16,18
P. 18#5,6,811,12

18. In class assignment to hand in: p.21 #1-8, 10-11
40 points!

19. Describe
What shape does the package for a Toblerone bar look like? Draw a picture to show the shape. Estimate the size of the bar and package. Then estimate how much cardboard it would take to make the package.
Monday, September 20; introduction to outcome SS2; processes: visualization, mental math and estimation
Image reproduced from

20. Explain
Look at the object on the right. Is it a regular shape, or is it made of up smaller shapes? Explain your answer, using a diagram if possible.
Tuesday, September 21; beginning work on outcome SS2; processes: visualization, reasoning, connections
Image reproduced from

21. Explain
The diagram on the right is a composite shape. What basic shapes is it made from? What object might this diagram represent?
Wednesday, September 22; supplementary to outcome SS2; processes: visualization, reasoning, connections

22. Calculate
What is the surface area of the diagram on the right? Draw the different surfaces, and calculate the total surface area.
Thursday, September 23; direct work on outcome SS2; processes: visualization, reasoning